Presentation on theme: "Unit 1 Day 16: Electric Potential due to any Charge Distribution"— Presentation transcript:
1 Unit 1 Day 16: Electric Potential due to any Charge Distribution Electric Field due to a single point chargeElectric Potential of a ring of chargeElectric Potential due to a charged disk
2 Electric Potential of a Single Point Charge The electric potential due to a single point charge is:In a region where there is a distribution of electric charge, we can sum over all the individual point charges, relative to some point a:If the charge distribution is continuous, then:
3 Electric Potential of a Ring of Charge A thin circular ring which has a uniformly distributed charge Q, the electric potential at point P on the axis of the ring is:For x>>R, this result reduces to:
4 Electric Potential due to a Charged Disk A thin, flat disk of radius R0, havingA uniformly distributed chargeDivide the disk into thin rings ofRadius R, and thickness dR, so weCan use the previous result.The disk is uniformly charged (Q),So that the charge contained in eachRing is proportional to its area.For x>>R0:
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